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120120000212021 = 17109127510429991
BaseRepresentation
bin11011010011111110011101…
…111100010110110000110101
3120202022100201100100102021112
4123103332131330112300311
5111221021230023241041
61103250211041524405
734205245404151535
oct3323763574266065
9522270640312245
10120120000212021
1135301673663657
1211580089043705
1352043626896a4
142193ba642d4c5
15dd48e464ddeb
hex6d3f9df16c35

120120000212021 has 16 divisors (see below), whose sum is σ = 129363377172480. Its totient is φ = 111134900862720.

The previous prime is 120120000211979. The next prime is 120120000212071. The reversal of 120120000212021 is 120212000021021.

It is a cyclic number.

It is not a de Polignac number, because 120120000212021 - 26 = 120120000211957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120120000211987 and 120120000212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120000212071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254979665 + ... + 255450326.

It is an arithmetic number, because the mean of its divisors is an integer number (8085211073280).

Almost surely, 2120120000212021 is an apocalyptic number.

It is an amenable number.

120120000212021 is a deficient number, since it is larger than the sum of its proper divisors (9243376960459).

120120000212021 is a wasteful number, since it uses less digits than its factorization.

120120000212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510430244.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120120000212021 its reverse (120212000021021), we get a palindrome (240332000233042).

The spelling of 120120000212021 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred twelve thousand, twenty-one".

Divisors: 1 17 109 127 1853 2159 13843 235331 510429991 8677309847 55636869019 64824608857 945826773323 1102018350569 7065882365413 120120000212021